Search for "K-theory" in article titles:

1. K-theory: In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. (Branch of mathematics) [100%] 2023-05-13 [K-theory]
2. K-theory: A part of algebraic topology that studies properties of vector bundles by algebraic and topological methods. As opposed to algebraic $ K $-theory, it is sometimes called topological $ K $-theory. (Mathematics) [100%] 2023-10-17
3. K-theory: In string theory, K-theory classification refers to a conjectured application of K-theory (in abstract algebra and algebraic topology) to superstrings, to classify the allowed Ramond–Ramond field strengths as well as the charges of stable D-branes. In ... (Physics) [100%] 2023-10-30 [String theory] [Algebra]...
4. Milnor K-theory: In mathematics, Milnor K-theory is an algebraic invariant (denoted \displaystyle{ K_*(F) }[/math] for a field \displaystyle{ F }[/math]) defined by John Milnor (1970) as an attempt to study higher algebraic K-theory in the special case of fields ... [70%] 2023-11-04 [K-theory]
5. Algebraic K-theory: Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called K-groups. [70%] 2024-01-09 [Algebraic K-theory] [Algebraic geometry]...
6. Topological K-theory: In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory that were introduced by Alexander Grothendieck. (Branch of algebraic topology) [70%] 2023-09-14 [K-theory]
7. Algebraic K-theory: A branch of algebra, dealing mainly with the study of the so-called $K$-functors ($K_0, K_1$, etc., cf. $K$-functor); it is a part of general linear algebra. (Mathematics) [70%] 2024-01-09
8. Additive K-theory: In mathematics, additive K-theory means some version of algebraic K-theory in which, according to Spencer Bloch, the general linear group GL has everywhere been replaced by its Lie algebra gl. It is not, therefore, one theory but a ... [70%] 2022-09-27 [K-theory]
9. Twisted K-theory: In mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory. More specifically, twisted K-theory with twist ... [70%] 2023-05-14 [K-theory]
10. K-theory (physics): In string theory, K-theory classification refers to a conjectured application of K-theory (in abstract algebra and algebraic topology) to superstrings, to classify the allowed Ramond–Ramond field strengths as well as the charges of stable D-branes. In ... (Physics) [70%] 2024-05-07 [String theory] [K-theory]...
11. Topological K-theory: In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory that were introduced by Alexander Grothendieck. (Branch of algebraic topology) [70%] 2025-04-15 [K-theory]
12. K-theory of a category: In algebraic K-theory, the K-theory of a category C (usually equipped with some kind of additional data) is a sequence of abelian groups Ki(C) associated to it. If C is an abelian category, there is no need ... (Concept in algebra) [50%] 2023-12-19 [Category theory] [K-theory]...
13. Stability theorems in algebraic K-theory: Assertions on the invariance of the groups $ K _{i} (R) $ or their subgroups, given certain special extensions of the ground ring $ R $( see Algebraic $ K $- theory). The following are the best-known stability theorems. (Mathematics) [44%] 2023-10-13
14. Fundamental theorem of algebraic K-theory: In algebra, the fundamental theorem of algebraic K-theory describes the effects of changing the ring of K-groups from a ring R to \displaystyle{ R }[/math] or \displaystyle{ R[t, t^{-1}] }[/math]. The theorem was first proved by ... (On the effects of changing the ring of ''K''-groups) [44%] 2023-12-31 [Algebraic K-theory] [Theorems in algebraic topology]...
15. Basic theorems in algebraic K-theory: In mathematics, there are several theorems basic to algebraic K-theory. Throughout, for simplicity, we assume when an exact category is a subcategory of another exact category, we mean it is strictly full subcategory (i.e., isomorphism-closed.) Additivity theorem ... (Four mathematical theorems) [44%] 2025-06-08 [Algebraic K-theory] [Theorems in algebraic topology]...
16. Rigidity (K-theory): In mathematics, rigidity of K-theory encompasses results relating algebraic K-theory of different rings. Suslin rigidity, named after Andrei Suslin, refers to the invariance of mod-n algebraic K-theory under the base change between two algebraically closed fields ... (K-theory) [81%] 2022-12-31 [Algebraic K-theory]
17. Differential K theory: In psychology and criminology, Differential K theory is a debunked hypothesis first proposed by Canadian psychologist J. Philippe Rushton in 1985, which attempts to apply r/K selection theory to human races. (Philosophy) [81%] 2023-03-05 [Psychological theories]
18. C-K theory: thumb|A graphical representation of a Design Process using C-K Design Theory. C-K design theory or concept-knowledge theory is both a design theory and a theory of reasoning in design. (Engineering) [81%] 2022-11-17 [Industrial design]
19. Level k theory: Level-k theory is a human behavioral model used in behavioral economics and game theory. It assumes that players in strategic games base their decisions on predictions about the actions of other players. [81%] 2024-09-14 [Behavioral economics] [Game theory]...
20. Difference-element-in-K-theory: An element of the group $ K ( X, A) $ (where $ ( X, A) $ is a pair of spaces and $ X $ is usually supposed to be a finite cellular space, while $ A $ is a cellular subspace of it), constructed from a triple $ ( \xi ... (Mathematics) [63%] 2023-10-24